Nonperturbative strong coupling at timelike momenta

Horak, Jan; Pawlowski, Jan M.; Turnwald, Jonas; Urban, Julian M.; Wink, Nicolas; Zafeiropoulos, Savvas

doi:10.1103/physrevd.107.076019

Title: Nonperturbative strong coupling at timelike momenta

Journal Article · 21 April 2023 · Physical Review. D.

DOI: https://doi.org/10.1103/physrevd.107.076019 · OSTI ID:1971169

Horak, Jan ^[1]; Pawlowski, Jan M. ^[2];

^[3];

^[4]; Wink, Nicolas ^[3]; Zafeiropoulos, Savvas ^[5]

Heidelberg Univ. (Germany)
Heidelberg Univ. (Germany); GSI-Darmstadt (Germany). ExtreMe Matter Inst. (EMMI)
Darmstadt Univ. of Technology (Germany)
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States); The NSF AI Institute for Artificial Intelligence and Fundamental Interactions, Cambridge, MA (United States)
Aix-Marseille Univ., Marseille (France)

We compute the strong coupling constant of Landau gauge QCD in the full complex momentum plane, both directly and via spectral reconstruction. In particular, we consider the Taylor coupling given by the product of ghost and gluon dressing functions. Assuming spectral representations for the latter, we first show that also the coupling obeys such a representation. The subsequent spectral reconstruction of the coupling data, obtained from 2+1 flavor lattice QCD results for the ghost and gluon, is based on a probabilistic inversion of this representation using Gaussian process regression with analytically enforced asymptotics. In contradistinction, our direct calculation relies on earlier reconstruction results for the ghost and gluon spectral functions themselves, as well as data obtained in functional QCD. Apart from its relevance for studies of resonances or scattering processes, the calculation also serves as a nontrivial benchmark of our reconstruction approach. The results show remarkable agreement, testifying to the reliability of the method.

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Research Organization:: Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP); National Science Foundation (NSF); German Research Foundation (DFG)

Grant/Contract Number:: SC0011090; PHY-2019786

OSTI ID:: 1971169

Alternate ID(s):: OSTI ID: 2420098

Journal Information:: Physical Review. D., Vol. 107, Issue 7; ISSN 2470-0010

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Title: Nonperturbative strong coupling at timelike momenta

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